Puzzle: Joyner’s five statements

The following little logical teaser appears as “Ponderable 1.1.3” in David Joyner’s book Adventures in Group Theory (Johns Hopkins University Press, 2008; also available to download for free).

Determine which of the following statements is true.

  • Exactly one of these statements is false.
  • Exactly two of these statements are false.
  • Exactly three of these statements are false.
  • Exactly four of these statements are false.
  • Exactly five of these statements are false.

(Enthusiasts might like to consider the “natural” generalisation to n statements, and in particular the case n=1…) Thanks to Dr André Sonnet for pointing this one out to me!

(DP)

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One Response to Puzzle: Joyner’s five statements

  1. Pingback: Solution to Joyner’s five statements problem | Degree of Freedom

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